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Jordan homomorphisms revisited
Published online by Cambridge University Press: 01 March 2008
Abstract
Let θ be a Jordan homomorphism from an algebra A into an algebra B. We find various conditions under which the restriction of θ to the commutator ideal of A is the sum of a homomorphism and an antihomomorphism. Algebraic results, obtained in the first part of the paper, are applied to the second part dealing with the case where A and B are C*-algebras.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 144 , Issue 2 , March 2008 , pp. 317 - 328
- Copyright
- Copyright © Cambridge Philosophical Society 2008
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